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Finding the Third Proportional to 101,331 and 219,969

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Solution

The third proportional to 101,331 and 219,969 is: 477,507.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,331 : 219,969 = 219,969 : x
  2. Step 2: Convert to fraction form
    101,331/219,969 = 219,969/x
  3. Step 3: Cross multiply
    101,331x = 219,969 × 219,969
  4. Step 4: Simplify right side
    101,331x = 48,386,360,961
  5. Step 5: Solve for x
    x = 48,386,360,961/101,331
  6. Step 6: Final answer
    x = 477,507.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.